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Finite Mathematics and Applied Calculus With Infotrac

Summary

Capturing student interest with a wealth of relevant, real world applications, Stefan Waner and Steven Costenoble's FINITE MATHEMATICS AND APPLIED CALCULUS, 4th Edition makes the material come alive for students! Providing maximum flexibility with the use of technology, the book integrates the use of spreadsheets and graphing calculators with instructions for Microsoft Excel and the TI-83. This technology material is clearly delineated so instructors can use as much or as little as they would like for their course. The popular accompanying website also provides a wealth of interactive tutorials, exercises, and online support. Connecting with all types of teaching and learning styles, Waner/Costenoble supports a wide range of instructional paradigms: from traditional lecture to a hybrid course to distance learning.

Table of Contents

Functions and Linear Models

2

(68)

Functions from the Numerical and Algebraic Viewpoints

3

(12)

Functions from the Graphical Viewpoint

15

(12)

Linear Functions

27

(11)

Linear Models

38

(16)

Linear Regression (optional)

54

(16)

You're the Expert Modeling Spending on Internet Advertising

63

(4)

review test

67

(3)

Optional Internet Topic

New Functions from Old: Scaled and Shifted Functions

Systems of Linear Equations and Matrices

70

(54)

Systems of Two Linear Equations in Two Unknowns

71

(14)

Using Matrices to Solve Systems of Equations

85

(20)

Applications of Systems of Linear Equations

105

(19)

You're the Expert The Impact of Regulating Sulfur Emissions

117

(4)

review test

121

(3)

Matrix Algebra and Applications

124

(56)

Matrix Addition and Scalar Multiplication

125

(11)

Matrix Multiplication

136

(14)

Matrix Inversion

150

(11)

Input-Output Models

161

(19)

You're the Expert The Japanese Economy

175

(2)

review test

177

(3)

Linear Programming

180

(76)

Graphing Linear Inequalities

181

(11)

Solving Linear Programming Problems Graphically

192

(17)

The Simplex Method: Solving Standard Maximization Problems

209

(18)

The Simplex Method: Solving General Linear Programming Problems

227

(13)

The Simplex Method and Duality (optional)

240

(16)

You're the Expert Airline Scheduling

249

(3)

review test

252

(4)

The Mathematics of Finance

256

(46)

Simple Interest

257

(7)

Compound Interest

264

(12)

Annuities, Loans, and Bonds

276

(26)

You're the Expert Saving for College

295

(4)

review test

299

(3)

Sets and Counting

302

(46)

Sets and Set Operations

303

(10)

Cardinality

313

(9)

The Addition and Multiplication Principles

322

(9)

Permutations and Combinations

331

(17)

You're the Expert Designing a Puzzle

343

(2)

review test

345

(3)

Probability

348

(78)

Sample Spaces and Events

349

(13)

Estimated Probability

362

(9)

Empirical Probability

371

(9)

Probability and Counting Techniques (optional)

380

(9)

Abstract Probability

389

(8)

Conditional Probability and Independence

397

(14)

Bayes' Theorem and Applications

411

(15)

You're the Expert The Monty Hall Problem

420

(2)

rewiew test

422

(4)

Random Variables and Statistics

426

(60)

Random Variables and Distributions

427

(10)

Bernoulli Trials and Binomial Random Variables

437

(6)

Measures of Central Tendency

443

(12)

Measures of Dispersion

455

(13)

Normal Distributions

468

(18)

You're the Expert Spotting Tax Fraud with Benford's Law

478

(3)

review test

481

(5)

Optional Internet Topics

Sampling Distributions and the Central Limit Theorem

Confidence Intervals

Markov Systems

486

(54)

Markov Systems

487

(8)

Distribution Vectors and Powers of the Transition Matrix

495

(12)

Long-Range Behavior of Regular Markov Systems

507

(13)

Absorbing Markov Systems

520

(20)

You're the Expert Predicting the Price of Gold

532

(4)

review test

536

(4)

Nonlinear Models

540

(52)

Quadratic Functions and Models

541

(8)

Exponential Functions and Models

549

(15)

Logarithmic Functions and Models

564

(9)

Trigonometric Functions and Models (optional)

573

(19)

You're the Expert Epidemics

586

(3)

review test

589

(3)

Optional Internet Topics

Linear and Exponential Regression

Using and Deriving Algebraic Properties of Logarithms

Introduction to the Derivative

592

(76)

Average Rate of Change

594

(9)

The Derivative As Rate of Change: A Numerical Approach

603

(10)

The Derivative As Slope: A Geometric Approach

613

(9)

The Derivative As a Function: An Algebraic Approach

622

(11)

A First Application: Marginal Analysis

633

(9)

Limits and Continuity: Numerical and Graphical Approaches (optional)

642

(11)

Limits and Continuity: Algebraic Approach (optional)

653

(15)

You're the Expert Reducing Sulfur Emissions

661

(3)

review test

664

(4)

Optional Internet Topics

Sketching the Graph of the Derivative

Proof of the Power Rule

Continuity and Differentiability

Techniques of Differentiation

668

(58)

The Product and Quotient Rules

669

(10)

The Chain Rule

679

(11)

Derivatives of Logarithmic and Exponential Functions

690

(12)

Derivatives of Trigonometric Functions (optional)

702

(7)

Implicit Differentiation

709

(17)

You're the Expert Projecting Market Growth

717

(7)

review test

724

(2)

Optional Internet Topic

Linear Approximation and Error Estimation

Applications of the Derivative

726

(58)

Maxima and Minima

727

(12)

Applications of Maxima and Minima

739

(13)

The Second Derivative and Analyzing Graphs

752

(12)

Related Rates

764

(8)

Elasticity of Demand

772

(12)

You're the Expert Production Lot Size Management

778

(4)

review test

782

(2)

The Integral

784

(58)

The Indefinite Integral

785

(11)

Substitution

796

(9)

The Definite Integral As a Sum: A Numerical Approach

805

(10)

The Definite Integral As Area: A Geometric Approach

815

(9)

The Definite Integral: An Algebraic Approach and the Fundamental Theorem of Calculus

824

(18)

You're the Expert Wage Inflation

837

(3)

review test

840

(2)

Optional Internet Topic

Numerical Integration

Further Integration Techniques and Applications of the Integral

842

(58)

Integration by Parts

843

(7)

Area Between Two Curves and Applications

850

(12)

Averages and Moving Averages

862

(10)

Continuous Income Streams

872

(5)

Improper Integrals and Applications

877

(8)

Differential Equations and Applications

885

(15)

You're the Expert Estimating Tax Revenues

893

(5)

review test

898

(2)

Functions of Several Variables

900

Functions of Several Variables from the Numerical and Algebraic Viewpoints